10100012011101 has 6 divisors (see below), whose sum is σ = 14588906238270. Its totient is φ = 6733341340728.

The previous prime is 10100012011097. The next prime is 10100012011123. The reversal of 10100012011101 is 10111021000101.

It can be written as a sum of positive squares in only one way, i.e., 9276684435225 + 823327575876 = 3045765^2 + 907374^2 .

It is not a de Polignac number, because 10100012011101 - 2² = 10100012011097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122223556789 = 10100012011101 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 2 + 0 + 1 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012011151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561111778386 + ... + 561111778403.

It is an arithmetic number, because the mean of its divisors is an integer number (2431484373045).

Almost surely, 2^{10100012011101} is an apocalyptic number.

It is an amenable number.

10100012011101 is a deficient number, since it is larger than the sum of its proper divisors (4488894227169).

10100012011101 is a wasteful number, since it uses less digits than its factorization.

10100012011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122223556795 (or 1122223556792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100012011101 its reverse (10111021000101), we get a palindrome (20211033011202).

The spelling of 10100012011101 in words is "ten trillion, one hundred billion, twelve million, eleven thousand, one hundred one".